Modeling the Mechanisms of Fracture Formation in Nanomodified Polymers

This work is devoted to the issues of numerical modeling of evolutionary processes occurring in nanomodified polymers during their deformation under static loading. The finite element method was used. A special eight-node finite element has been developed and numerically implemented. Solving the problems of nonlinear deformation of nanomodified polymer compositions is carried out on the basis of the Newton-Kantorovich algorithm, supplemented by a block that implements the method of variable stiffness, taking into account the modified Morse potential. Comparison of the results of numerical solutions of control problems with other numerical solutions known from the literature indicates their good agreement. As an example, the results of modeling the evolution of progressive fracture when pulling out a nanotube from a reactoplastic polymer matrix are presented. The developed methods make it possible to reliably determine the physical and mechanical characteristics of nanomodified polymers and the strength of structures based on them.